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Minimum Yield Stress for Allowable Axial Compression Stress for Slenderness Ratio between 0 to 160 Formula

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Specified minimum yield stress for column represents the minimum tensile stress or yield stress required by the flexural member, say, web. Check FAQs

F yw = F a \cdot (1 + (0.20 \cdot ((\frac{EAR}{r least}) \cdot (\sqrt{f s \cdot \frac{P compressive}{4 \cdot ε column}})))) \cdot f s

F_yw - Specified minimum yield stress for column?F_a - Allowable compression stress?EAR - Effective Interest Rate?r_least - Least Radius of Gyration Column?f_s - Factor of Safety?P_compressive - Column Compressive load?ε_column - Modulus of Elasticity Column?

Minimum Yield Stress for Allowable Axial Compression Stress for Slenderness Ratio between 0 to 160 Example

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Here is how the Minimum Yield Stress for Allowable Axial Compression Stress for Slenderness Ratio between 0 to 160 equation looks like with Values.

Here is how the Minimum Yield Stress for Allowable Axial Compression Stress for Slenderness Ratio between 0 to 160 equation looks like with Units.

Here is how the Minimum Yield Stress for Allowable Axial Compression Stress for Slenderness Ratio between 0 to 160 equation looks like.

31.6796 = 10 \cdot (1 + (0.20 \cdot ((\frac{6}{47.02}) \cdot (\sqrt{2.8 \cdot \frac{0.4}{4 \cdot 10.56}})))) \cdot 2.8

31.6796MPa = 10MPa \cdot (1 + (0.20 \cdot ((\frac{6}{47.02mm}) \cdot (\sqrt{2.8 \cdot \frac{0.4kN}{4 \cdot 10.56MPa}})))) \cdot 2.8

31.6796 = 10 \cdot (1 + (0.20 \cdot ((\frac{6}{47.02}) \cdot (\sqrt{2.8 \cdot \frac{0.4}{4 \cdot 10.56}})))) \cdot 2.8

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Minimum Yield Stress for Allowable Axial Compression Stress for Slenderness Ratio between 0 to 160 Solution

Follow our step by step solution on how to calculate Minimum Yield Stress for Allowable Axial Compression Stress for Slenderness Ratio between 0 to 160?

FIRST Step Consider the formula

F yw = F a \cdot (1 + (0.20 \cdot ((\frac{EAR}{r least}) \cdot (\sqrt{f s \cdot \frac{P compressive}{4 \cdot ε column}})))) \cdot f s

Next Step Substitute values of Variables

∴

F yw = 10MPa \cdot (1 + (0.20 \cdot ((\frac{6}{47.02mm}) \cdot (\sqrt{2.8 \cdot \frac{0.4kN}{4 \cdot 10.56MPa}})))) \cdot 2.8

Next Step Convert Units

∴

F yw = 1E+7Pa \cdot (1 + (0.20 \cdot ((\frac{6}{0.047m}) \cdot (\sqrt{2.8 \cdot \frac{400N}{4 \cdot 1.1E+7Pa}})))) \cdot 2.8

Next Step Prepare to Evaluate

∴

F yw = 1E+7 \cdot (1 + (0.20 \cdot ((\frac{6}{0.047}) \cdot (\sqrt{2.8 \cdot \frac{400}{4 \cdot 1.1E+7}})))) \cdot 2.8

Next Step Evaluate

∴

F yw = 31679626.2565489Pa

Next Step Convert to Output's Unit

∴

F yw = 31.6796262565489MPa

LAST Step Rounding Answer

∴

F yw = 31.6796MPa

Minimum Yield Stress for Allowable Axial Compression Stress for Slenderness Ratio between 0 to 160 Formula Elements

Variables

Functions

Specified minimum yield stress for column

Specified minimum yield stress for column represents the minimum tensile stress or yield stress required by the flexural member, say, web.

Symbol: F_yw

Measurement: PressureUnit: MPa

Note: Value should be greater than 0.

Formulas to find Specified minimum yield stress for column

Allowable compression stress

Allowable compression stress is the maximum stress (tensile, compressive or bending) that is allowed to be applied on a structural material.

Symbol: F_a

Measurement: PressureUnit: MPa

Note: Value can be positive or negative.

Formulas to find Allowable compression stress

Effective Interest Rate

The effective interest rate is the true rate of interest earned.

Symbol: EAR

Measurement: NAUnit: Unitless

Note: Value can be positive or negative.

Formulas to find Effective Interest Rate

Least Radius of Gyration Column

Least Radius of Gyration Column is the smallest value of the radius of gyration is used for structural calculations.

Symbol: r_least

Measurement: LengthUnit: mm

Note: Value can be positive or negative.

Formulas to find Least Radius of Gyration Column

Factor of Safety

Factor of Safety expresses how much stronger a system is than it needs to be for an intended load.

Symbol: f_s

Measurement: NAUnit: Unitless

Note: Value should be greater than 0.

Formulas to find Factor of Safety

Column Compressive load

Column Compressive load is the load applied to a column that is compressive in nature.

Symbol: P_compressive

Measurement: ForceUnit: kN

Note: Value should be greater than 0.

Formulas to find Column Compressive load

Modulus of Elasticity Column

Modulus of Elasticity Column is a quantity that measures an object or substance's resistance to being deformed elastically when stress is applied to it.

Symbol: ε_column

Measurement: PressureUnit: MPa

Note: Value should be greater than 0.

Formulas to find Modulus of Elasticity Column

sqrt

A square root function is a function that takes a non-negative number as an input and returns the square root of the given input number.

Syntax: sqrt(Number)

Other formulas in Formula By I.S. Code For Mild Steel category

Go Allowable Axial Compression Stress for Slenderness Ratio 0 to 160

F a = \frac{\frac{F yw}{f s}}{1 + (0.20 \cdot ((\frac{EAR}{r least}) \cdot (\sqrt{f s \cdot \frac{P compressive}{4 \cdot ε column}})))}

Go Allowable Axial Compression Stress for Slenderness Ratio greater than 160

F a = σ c' \cdot (1.2 - (\frac{L eff}{800 \cdot r least}))

How to Evaluate Minimum Yield Stress for Allowable Axial Compression Stress for Slenderness Ratio between 0 to 160?

Minimum Yield Stress for Allowable Axial Compression Stress for Slenderness Ratio between 0 to 160 evaluator uses Specified minimum yield stress for column = Allowable compression stress*(1+(0.20*((Effective Interest Rate/Least Radius of Gyration Column)*(sqrt(Factor of Safety*Column Compressive load/(4*Modulus of Elasticity Column))))))*Factor of Safety to evaluate the Specified minimum yield stress for column, Minimum Yield Stress for Allowable Axial Compression Stress for Slenderness Ratio between 0 to 160 formula is defined as the maximum stress that a mild steel column can withstand without buckling, considering the slenderness ratio and compressive forces, ensuring structural integrity and safety in building design. Specified minimum yield stress for column is denoted by F_yw symbol.

How to evaluate Minimum Yield Stress for Allowable Axial Compression Stress for Slenderness Ratio between 0 to 160 using this online evaluator? To use this online evaluator for Minimum Yield Stress for Allowable Axial Compression Stress for Slenderness Ratio between 0 to 160, enter Allowable compression stress (F_a), Effective Interest Rate (EAR), Least Radius of Gyration Column (r_least), Factor of Safety (f_s), Column Compressive load (P_compressive) & Modulus of Elasticity Column (ε_column) and hit the calculate button.

FAQs on Minimum Yield Stress for Allowable Axial Compression Stress for Slenderness Ratio between 0 to 160

What is the formula to find Minimum Yield Stress for Allowable Axial Compression Stress for Slenderness Ratio between 0 to 160?

The formula of Minimum Yield Stress for Allowable Axial Compression Stress for Slenderness Ratio between 0 to 160 is expressed as Specified minimum yield stress for column = Allowable compression stress*(1+(0.20*((Effective Interest Rate/Least Radius of Gyration Column)*(sqrt(Factor of Safety*Column Compressive load/(4*Modulus of Elasticity Column))))))*Factor of Safety. Here is an example- 3.2E-5 = 10000000*(1+(0.20*((6/0.04702)*(sqrt(2.8*400/(4*10560000))))))*2.8.

How to calculate Minimum Yield Stress for Allowable Axial Compression Stress for Slenderness Ratio between 0 to 160?

With Allowable compression stress (F_a), Effective Interest Rate (EAR), Least Radius of Gyration Column (r_least), Factor of Safety (f_s), Column Compressive load (P_compressive) & Modulus of Elasticity Column (ε_column) we can find Minimum Yield Stress for Allowable Axial Compression Stress for Slenderness Ratio between 0 to 160 using the formula - Specified minimum yield stress for column = Allowable compression stress*(1+(0.20*((Effective Interest Rate/Least Radius of Gyration Column)*(sqrt(Factor of Safety*Column Compressive load/(4*Modulus of Elasticity Column))))))*Factor of Safety. This formula also uses Square Root (sqrt) function(s).

Can the Minimum Yield Stress for Allowable Axial Compression Stress for Slenderness Ratio between 0 to 160 be negative?

No, the Minimum Yield Stress for Allowable Axial Compression Stress for Slenderness Ratio between 0 to 160, measured in Pressure cannot be negative.

Which unit is used to measure Minimum Yield Stress for Allowable Axial Compression Stress for Slenderness Ratio between 0 to 160?

Minimum Yield Stress for Allowable Axial Compression Stress for Slenderness Ratio between 0 to 160 is usually measured using the Megapascal[MPa] for Pressure. Pascal[MPa], Kilopascal[MPa], Bar[MPa] are the few other units in which Minimum Yield Stress for Allowable Axial Compression Stress for Slenderness Ratio between 0 to 160 can be measured.

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Minimum Yield Stress for Allowable Axial Compression Stress for Slenderness Ratio between 0 to 160 Formula

Minimum Yield Stress for Allowable Axial Compression Stress for Slenderness Ratio between 0 to 160 Example

Minimum Yield Stress for Allowable Axial Compression Stress for Slenderness Ratio between 0 to 160 Solution

Minimum Yield Stress for Allowable Axial Compression Stress for Slenderness Ratio between 0 to 160 Formula Elements

Other formulas in Formula By I.S. Code For Mild Steel category

How to Evaluate Minimum Yield Stress for Allowable Axial Compression Stress for Slenderness Ratio between 0 to 160?

FAQs on Minimum Yield Stress for Allowable Axial Compression Stress for Slenderness Ratio between 0 to 160

Variable Name